Length of Hypotenuse (Radical) (Level 2)

This math topic focuses on practicing the Pythagorean Theorem, specifically calculating the lengths of missing sides of triangles presented as radical values (square roots). Each problem requires using the theorem to find the length of one or more sides of a right triangle, with answers given in exact square root notation. The problems are intended to reinforce understanding of geometric relationships and algebraic manipulation involving square roots, as well as provide visualization and application of the Pythagorean Theorem in diverse scenarios.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Pythagorean Theorem - Length of Hypotenuse (Radical) Worksheet

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Math worksheet on 'Pythagorean Theorem - Length of Hypotenuse (Radical) (Level 2)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/
1
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing x=square root of 39
b A LaTex expression showing x=square root of 153
c A LaTex expression showing x=square root of 89
2
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing y=square root of 130
b A LaTex expression showing y=square root of 292
c A LaTex expression showing y=square root of 32
3
An svg image showing a math problem
Find the length of the missing side as a square root value, based on the Pythagorean theorem
a A LaTex expression showing n=square root of 80
b A LaTex expression showing n=square root of 48
4
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing z=square root of 105
b A LaTex expression showing z=square root of 137
c A LaTex expression showing z=square root of 169
5
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing p=square root of 36
b A LaTex expression showing p=square root of 164
c A LaTex expression showing p=square root of 228
d A LaTex expression showing p=square root of 292
6
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing p=square root of 364
b A LaTex expression showing p=square root of 202
c A LaTex expression showing p=square root of 40
7
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing x=square root of 36
b A LaTex expression showing x=square root of 164
c A LaTex expression showing x=square root of 292
d A LaTex expression showing x=square root of 228